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pi-forall

A demo implementation of a simple dependently-typed language for OPLSS (Used in 2022, 2014 and 2013) Stephanie Weirich

The goal of this project is to bring up the design issues that occur in the implementation languages like Agda, Coq, Epigram, Idris, etc. Of course, it can't cover everything, but this code is a good starting point for discussion.

As its main purpose is didactic, the code itself has been written for clarity, not for speed. The point of this implementation is an introduction to practical issues of language design and how specific features interact with each other.

Furthermore, this code based includes a number of features (unit, booleans, sigma types) which are all subsumed by the general mechanism for datatypes. These are included to give examples before diving into the more general, and much more complicated, code.

Features

  • Pure-type-system (PTS) representation (uniform syntax for all levels)
  • bidirectional type checking
  • irrelevant arguments (forall)
  • propositional equality
  • indexed datatypes

This code is open source. Feel free to extend or adapt it for your own project. https://github.com/sweirich/pi-forall

Installation

pi-forall requires GHC and cabal or stack

Contents

There are several versions of pi-forall in the repository. See the documentation for an extended description of what parts of the language are covered by each version.

Each implementation has the following structure:

<version>/
  pi/*.pi            example pi-forall files
  src/*.hs           source code
  app/Main.hs        entry point
  README.md (this file)
  LICENSE
  pi-forall.cabal
  stack.yaml         

Acknowledgement

Some of this code was adapted from the 'zombie-trellys' implementation by the Trellys team. The Trellys team includes Aaron Stump, Tim Sheard, Stephanie Weirich, Garrin Kimmell, Harley D. Eades III, Peng Fu, Chris Casinghino, Vilhelm Sjöberg, Nathan Collins, and Ki Yung Ahn.

This material is based upon work supported by the National Science Foundation under Grant Number 0910786. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.